Question

1. The General Social Survey (2008) asked a random sample of people whether they agree with the following statement: A husband’s job is to earn money; a wife’s job is to take care of the home. Based on this data (displayed below), conduct a chi-square hypothesis test to assess whether there are statistically significant gender differences in feelings about gender roles ( = 0.05). Male Female Total Agree 183 192 375 Neither 143 140 283 Disagree 288 412 700 Total 614 744 1,358 a. Write out the hypotheses (2 points). b. Calculate degrees of freedom (1 point). c. Construct a table of expected frequencies (fe) (6 points). d. Compute the chi-square statistic. Create a table like the ones we used in class to help you (11 points). e. Determine the p-value (1 point). f. Decide whether there is evidence to reject the null hypothesis (use = 0.05). Justify your decision (2 points). g. Interpret the results of the hypothesis test in terms of the wording of the problem (2 points).

Answer 1

Claim:- whether there are statistically significant gender differences in feelings about gender roles ( = 0.05).

Null hypothesis Ho:- Gender and feelings about gender roles are independent, i.e., there are statistically no significant gender differences in feelings about gender roles.

Alternative Hypothesis(H1): Gender and feelings about gender roles are dependent.there are statistically significant gender differences in feelings about gender roles.

decision :- P value is less than level of significance

We reject null hypothesis

Conclusion :- there is sufficient evidence to claim that there are statistically significant gender differences in feelings about gender roles.